Arithmetic problems

While teaching my niece this morning i got a term and thought that i should explore the term at least for improvement of my own general knowledge. The term i am talking about is arithmetic reasoning. So here i will confine myself with arithmetic reasoning only.

Arithmetic reasoning is not like hard math problems, if you know how to solve it, it becomes easier and also interesting. Without wasting much time i will first start with the meaning of the term. Arithmetic reasoning is that part of math which studies the use of arithmetic operations like addition, subtraction, division and multiplication.

We can use arithmetic reasoning in our real life problems also. There are certain formulas regarding arithmetic reasoning and these are as follows:

Commutative formula for addition: c+d = d+c
Commutative formula for multiplication: cd = dc
Associative formula for addition: (c+d)+e = c+(d+e)
Associative formula for multiplication: (cd)e = c(de)

These were the basic formulas of arithmetic reasoning, i am sure it will serve your great help. Next time will move on with some other topics, till then take care and enjoy math.

Order in Math

Introduction:

If we start discussing about the concepts of math, the discussion would never be over. Starting from algebra, adding square roots, radicals, geometry, trigonometry and the lists never ends. It goes on and on and on. I am not an expertise in math so i won't go with the complex ones. Today i will share my knowledge on the orders in math. Yes about orders, what got confused! Don't be, because it is about ascending and descending order.

Number ordering:

Number ordering is the process of arranging numbers in a definite pattern. In math there are basically two orders of numbering: ascending order and descending order.

Ascending order:

Ascending order is that where numbers are arranged in the increasing order i,e. arranging from smaller to bigger number and using the smaller than sign "<" for ascending order. As for example: 1<2<3<4<5<6<7<8<9<10.

Descending order is that pattern of order where numbers are arranged in the decreasing order i,e. arranging from bigger to smaller number and using the greater than sign ">" for descending order. As for example: 10>9>8>7>6>5>4>3>2>1.

Conclusion:

Ascending and descending order are used for many purposes and so though simple it is essential to math. Today i dealt with the the two basic patterns of arranging numbers. Some other time we will try to move on with the harder concepts of math. Till then enjoy ordering.

Lists Of Numbers

Introduction:

Just giving a thought to the numbers, i realize how there are such lot of distinctions within these numbers: list of even numbers and odd numbers, list of prime numbers, list of composite numbers and so on. As a child i always used to get confused with these distinctions, however it doesn't seem that hard now. Let's do one thing, today we will confine our self with just numbers, i mean distinctions of numbers.

Prime numbers:

Starting with the prime numbers 1-100, let us first know what is exactly prime numbers. Prime numbers are those natural numbers which are exactly divided by two natural numbers, 1 and itself. As for example: 2, 3, 5, 7, ..... 97.

Composite numbers:

Moving on to composite numbers, let us get the answer to what is a composite number? Composite numbers are those which have factors other than 1 and itself. Except all the 25 prime numbers between 1 to 100, others are composite numbers. As for example: 4, 6, 8,....100.

So, here is something about prime numbers and composite numbers. Next time we will explore with the other distinctions of numbers.

Basics of math

Introduction:

Math is always the hated most subject among the students. I too used to hate math like anything in my school. But now i realize math becomes easy if the process of learning is in the right track. Don't worry i am not going to give you any moral lectures. Here i will talk about the basic functions of math. I will talk about questions like: how to add, how to subtract, how to multiply and how to divide.

Learning math:
You must be thinking. These are so simple. Other things like complex numbers, fractions simplification are more tougher. Then why not talk about those but what i am trying to say is most of the problems has these four functions only. The only thing is they are put in a difficult manner. So what we should do is just simplify the problem and then solve it. I tried it myself and it helps you for sure. Just try it once.

Always learning from the root level is best because this makes our hold over the concept much stronger. If you are learning radicals, start with some basic examples of radicals. So i guess now you know how to learn. What are you waiting for then, just start and have a blast.

Algebra fun

The title itself might have been shocking for you. You are thinking how can math be fun when we find it so hard to tackle. Equations in algebra, geometry, trigonometry, adding and subtracting radicals and so on. One is tougher than the other. How to solve it then.

Starting with algebra, we give up with the equations. There are linear equations which are algebraic expressions and these terms are like enough for us to get scared.

But few things are very important. Rather than struggling with the harder concepts, it is always better to start with the basic ones. This will help us to understand the concept better and to solve it both.

Algebra deals with expressions and variables, so what we need to do is to understand the basics of expressions and variable first and then moving with the equations.

I am sure this will help, just give a try...

Arithmetic and geometric progression

While dealing with mathematics few terms always make us tensed. Arithmetic progression and geometric progression are few.

Arithmetic progression is also called arithmetic sequence. A sequence or progression is a group of number or letters arranged in an order. These terms are generally denoted as a1, a2, a3........an.
The suffix denotes the location of the term.

Arithmetic progression is that sequence where the sequence begins with a and then each term is found by adding the common difference d. As for example: a, a+d, a+2d, a+3d....

Geometric progression on the other hand is a sequence where each term except the first term can be can be calculated by multiplying the preceding term by a constant term or a common ratio. As for example: a, ar2, ar3.....

There is another progression in mathematics which is known as harmonic progression but basic math is confined basically to these two progression.

Figures Of Geometry

Introduction:

When i was in school, i was not a great fan of solving geometry problems but the figures of geometry always fascinated me however. Indeed my notebook used to be filled with geometric figures rather than geometric problems. This piece of writing is entirely dedicated to my fascination.

Geometrical figures:

Geometry is a very essential part of mathematics. It is basically a part of practical knowledge dealing with the study of lengths, areas and volumes. The basic figures of geometry are triangle, rectangle, square and circle.

Triangle is that shape of geometry which is formed with the intersection of three lines. It is a closed figure having three sides and three angles.Rectangle is that which is formed with the intersection of four lines. The opposite sides of a rectangle are equal and parallel.

Square like rectangle is also formed with the intersection of three sides but in a square all four sides are of equal length.

Circle is that shape which has a fixed point called the center and the the circumference is equidistant from the center.

So these are the basic shapes of geometry. I hope it will serve you as interesting.

Image source: Google image.